### Practical Geometry Class 8th Mathematics Term 2 Tamilnadu Board Solution

##### Question 1.Construct rectangle JUMP with the following measurements. Find its area also.JU = 5.4 cm and UM = 4.7 cm.Answer:Step 1 – Construct a line JU of length 5.4 cm Step 2 – Construct a line UM of length 4.7 cm perpendicular to the line JU. Step 3 – Complete the rectangle by making JP and PM perpendicular to JU and UM respectively. Area = length × breadthA = 5.4 × 4.7A = 25.38 cm2Question 2.Construct rectangle JUMP with the following measurements. Find its area also.JU = 6 cm and JP = 5 cm.Answer:Step 1 – Construct a line JU of length 6 cm Step 2 – Construct a line JP of length 5 cm perpendicular to the line JU. Step 3 – Complete the rectangle by making UM and PM perpendicular to JU and JP respectively. Area = length × breadthA = 5 × 6A = 30 cm2Question 3.Construct rectangle JUMP with the following measurements. Find its area also.JP = 4.2 cm and MP= 2.8 cm.Answer:Step 1 – Construct a line JP of length 4.2 cm Step 2 – Construct a line MP of length 2.8 cm perpendicular to the line JP. Step 3 – Complete the rectangle by making JU and MU perpendicular to JP and MP respectively. Area = length × breadthA = 2.8 × 4.2A = 11.76 cm2Question 4.Construct rectangle JUMP with the following measurements. Find its area also.UM = 3.6 cm and MP = 4.6 cm.Answer:Step 1 – Construct a line MP of length 4.6 cm Step 2 – Construct a line UM of length 3.6 cm perpendicular to the line MP. Step 3 – Complete the rectangle by making JP and UJ perpendicular to MP and UM respectively. Area = length × breadthA = 3.6 × 4.6A = 16.56 cm2Question 5.Construct rectangle MORE with the following measurements. Find its area also.MO = 5 cm and diagonal MR = 6.5 cm.Answer:Step 1 – Construct a line MO = 5 cm Step 2 – Draw a ray perpendicular to MO passing through O Step 3 – Cut an arc of length 6.5 cm on the ray with M as center and mark the intersecting point as R. Step 4 – Complete the rectangle by making RO and MO perpendicular to RE and ME respectively. Measure RE⇒ RE = 4.2 cmArea = 5 × 4.2Area = 21Question 6.Construct rectangle MORE with the following measurements. Find its area also.MO = 4.6 cm and diagonal OE = 5.4 cm.Answer:Step 1 – Construct a line MO = 4.6 cm Step 2 – Draw a ray perpendicular to MO passing through M Step 3 – Cut an arc of length 5.4 cm on the ray with O as center and mark the intersecting point as E. Step 4 – Complete the rectangle RE and EO perpendicular to MR and MO respectively. Measure OE⇒ OE = 2.8 cmArea = 4.6 × 2.8Area = 12.88 cm2Question 7.Construct rectangle MORE with the following measurements. Find its area also.OR = 3 cm and diagonal MR = 5 cm.Answer:Step 1 – Construct a line OR = 3 cm Step 2 – Draw a ray perpendicular to OR passing through O Step 3 – Cut an arc of length 5 cm on the ray with R as center and mark the intersecting point as M. Step 4 – Complete the rectangle ME and RE perpendicular to MO and OR respectively. Measure RE⇒ RE = 4 cmArea = 3 × 4Area = 12 cm2Question 8.Construct rectangle MORE with the following measurements. Find its area also.ME = 4 cm and diagonal OE = 6 cm.Answer:Step 1 – Construct a line OR = 3 cm Step 2 – Draw a ray perpendicular to ME passing through M Step 3 – Cut an arc of length 6 cm on the ray with E as center and mark the intersecting point as O. Step 4 – Complete the rectangle OR and RE perpendicular to MO and ME respectively. Measure RE⇒ RE = 5.2 cmArea = 3 × 5.2Area = 15.6 cm2Question 9.Construct square EASY with the following measurements. Find its area also.Side 5.1 cm.Answer:Step 1 – Construct a line EA of length 5.1 cm. Step 2 – Draw lines AS and EY perpendicular to EA of length of EA. Step 3 – Join S and Y Area of Square = side × side = side2Area = 5.12 = 26.01 cm2Question 10.Construct square EASY with the following measurements. Find its area also.Side 3.8 cm.Answer:Step 1 – Construct a line EA of length 3.8 cm. Step 2 – Draw lines AS and EY perpendicular to EA of length of EA. Step 3 – Join S and Y Area of Square = side × side = side2Area = 3.82 = 14.44 cm2Question 11.Construct square EASY with the following measurements. Find its area also.Side 6 cm.Answer:Step 1 – Construct a line EA of length 6 cm. Step 2 – Draw lines AS and EY perpendicular to EA of length of EA. Step 3 – Join S and Y Area of Square = side × side = side2Area = 62 = 36 cm2Question 12.Construct square EASY with the following measurements. Find its area also.Side 4.5 cm.Answer:Step 1 – Construct a line EA of length 4.5 cm. Step 2 – Draw lines AS and EY perpendicular to EA of length of EA. Step 3 – Join S and Y Area of Square = side × side = side2Area = 4.52 = 20.25 cm2Question 13.Construct square GOLD, one of whose diagonal is given below. Find its area also.4.8 cm.Answer:Step 1 – Draw a line GL of length 4.8 cm Step 2 – Draw a perpendicular bisector DO of GL of same length as GL HERE GL = DO = 4.8 cmStep 3 – Join the four points GOLD Area of square = (where D is the Diagonal)Area = Area = 11.52 cm2Question 14.Construct square GOLD, one of whose diagonal is given below. Find its area also.3.7 cm.Answer:Step 1 – Draw a line GL of length 3.7 cm Step 2 – Draw a perpendicular bisector DO of GL of same length as GL HERE GL = DO = 3.7 cmStep 3 – Join the four points GOLD Area of square = (where D is the Diagonal)Area = Area = 6.845 cm2Question 15.Construct square GOLD, one of whose diagonal is given below. Find its area also.5 cm.Answer:Step 1 – Draw a line GL of length 5 cm Step 2 – Draw a perpendicular bisector DO of GL of same length as GL HERE GL = DO = 5 cmStep 3 – Join the four points GOLD Area of square = (where D is the Diagonal)Area = Area = 12.5 cm2Question 16.Construct square GOLD, one of whose diagonal is given below. Find its area also.7 cm.Answer:Step 1 – Draw a line GL of length 7 cm Step 2 – Draw a perpendicular bisector DO of GL of same length as GL HERE GL = DO = 7 cmStep 3 – Join the four points GOLD Area of square = (where D is the Diagonal)Area = Area = 24.5 cm2

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